What is (1-3i)/(1+2i) ?

The solution to (1-3i)/(1+2i) is -1-i

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simplify (1-3i)/(1+2i)

simplify

\frac{1 - 3 i}{1 + 2 i}

- 1 - i

Solution steps

\frac{1 - 3 i}{1 + 2 i}

Multiply by the conjugate

\frac{1 - 2 i}{1 - 2 i}

= \frac{( 1 - 3 i ) ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )}

Simplify

\frac{( 1 - 3 i ) ( 1 - 2 i )}{( 1 + 2 i ) ( 1 - 2 i )} : \frac{- 5 - 5 i}{5}

= \frac{- 5 - 5 i}{5}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 5}{5} + \frac{- 5}{5} i

Simplify

\frac{- 5}{5} + \frac{- 5}{5} i : - 1 - i

= - 1 - i

i^{232}

4 x^{2} + 14 x + 6

(x + 6) (x^{2} - 3 x - 4)

3.5 \cdot 6 0^{2}

1 6^{0.75}